Pre-Hausdorff Spaces

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dc.creatorStine, Jay
dc.creatorMielke, M. V.
dc.date2008-03-07
dc.date.accessioned2026-07-07T09:25:41Z
dc.date.available2026-07-07T09:25:41Z
dc.descriptionThis paper introduces three separation conditions for topological spaces, called T_{0,1}, T_{0,2} ("pre-Hausdorff"), and T_{1,2}. These conditions generalize the classical T_(1) and T_(2) separation axioms, and they have advantages over them topologically which we discuss. We establish several different characterizations of pre-Hausdorff spaces, and a characterization of Hausdorff spaces in terms of pre-Hausdorff. We also discuss some classical Theorems of general topology which can or cannot be generalized by replacing the Hausdorff condition by pre-Hausdorff.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0803.1175
dc.identifierhttp://arxiv.org/abs/0803.1175
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156490
dc.subjectGeneral Topology
dc.subject18B30; 54A05; 54D10
dc.titlePre-Hausdorff Spaces
dc.typetext

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